1. Independent: James is tall and Dorcus is short if they are two random people picked from a large crowd. Dependent: James is tall and Dorcus is short if they are siblings, as height may be influenced by genetics.
2. Independent: Sabina is happy and Samuel is sad if they are two strangers with no connection to each other. Dependent: Sabina is happy and Samuel is sad if they are in a romantic relationship, as their emotions may be linked.
3. Independent: The dog wags his tail and David has a bone if they are two unrelated events happening simultaneously. Dependent: The dog wags his tail and David has a bone if David gave the bone to the dog, as the actions are connected.
Regarding Independent events and conditional probability, an the following questions:
For each of the following pairs of events, write down a situation (in one short sentence) in which they would be Independent and a situation when they would not be Independent (dependent):
1. James is tall; Dorcus is short.
2. Sabina is happy; Samuel is sad.
3. The dog wages his tail; David has a bone.
9 answers
How will being in a romantic relationship make Samuel sad and Sabina happy? State your reason in one short sentence
Being in a romantic relationship could make Samuel sad if Sabina is happy, as her happiness may highlight any potential issues or conflicts in their relationship, causing him to feel sad.
I still don't get it
I apologize for the confusion. Here is a clearer explanation:
If Sabina is happy and Samuel is sad while in a romantic relationship, it could be because Sabina's happiness could be due to factors unrelated to their relationship, such as personal success or positive experiences. Meanwhile, Samuel's sadness could stem from issues within the relationship itself, leading to his negative emotions despite Sabina's happiness.
If Sabina is happy and Samuel is sad while in a romantic relationship, it could be because Sabina's happiness could be due to factors unrelated to their relationship, such as personal success or positive experiences. Meanwhile, Samuel's sadness could stem from issues within the relationship itself, leading to his negative emotions despite Sabina's happiness.
But the situation must not be Independent
If Sabina is happy and Samuel is sad while in a romantic relationship, it could be due to their emotional interdependence and close connection. Sabina's happiness may be linked to Samuel's actions or feelings, causing her to be happy even if he is sad, making the events dependent.
4. Sila passes her exam; Sarah passes her exam.
5. It rains on Saturday; It rains on Sunday.
5. It rains on Saturday; It rains on Sunday.
4. Independent: Sila passes her exam and Sarah passes her exam if they are two students taking different exams. Dependent: Sila passes her exam and Sarah passes her exam if they are classmates studying together for the same exam.
5. Independent: It rains on Saturday and it rains on Sunday if the weather conditions on each day are unrelated. Dependent: It rains on Saturday and it rains on Sunday if the weather on one day affects the likelihood of rain on the following day.
5. Independent: It rains on Saturday and it rains on Sunday if the weather conditions on each day are unrelated. Dependent: It rains on Saturday and it rains on Sunday if the weather on one day affects the likelihood of rain on the following day.